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Finding the Third Proportional to 846,764 and 1,830,040

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Solution

The third proportional to 846,764 and 1,830,040 is: 3,955,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,764 : 1,830,040 = 1,830,040 : x
  2. Step 2: Convert to fraction form
    846,764/1,830,040 = 1,830,040/x
  3. Step 3: Cross multiply
    846,764x = 1,830,040 × 1,830,040
  4. Step 4: Simplify right side
    846,764x = 3,349,046,401,600
  5. Step 5: Solve for x
    x = 3,349,046,401,600/846,764
  6. Step 6: Final answer
    x = 3,955,111.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.